Arithmetic dynamics | Divisor function | Integer sequences

Abundant number

In number theory, an abundant number or excessive number is a number for which the sum of its proper divisors is greater than the number. The integer 12 is the first abundant number. Its proper divisors are 1, 2, 3, 4 and 6 for a total of 16. The amount by which the sum exceeds the number is the abundance. The number 12 has an abundance of 4, for example. (Wikipedia).

Abundant number
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From playlist Number Patterns

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Integers vary wildly in how "divisible" they are. One way to measure divisibility is to add all the divisors. This leads to 3 categories of whole numbers: abundant, deficient, and perfect numbers. We show there are an infinite number of abundant and deficient numbers, and then talk abou

From playlist Number Theory

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From playlist Summer of Math Exposition Youtube Videos

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From playlist Integers

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From playlist IB Math Studies Chapter 1

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This video provides two examples of determining the greatest common factor by using prime factorization. Complete video list at

From playlist Factors, Prime Factors, and Least Common Factors

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In this video we recall the definition of prime numbers, prove there are infinitely many, and that every natural number larger than 1, has a unique decomposition as a product of primes. (Up to re-ordering)

From playlist Introduction to Number Theory

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Prove that there is a prime number between n and n!

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From playlist Elementary Number Theory

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From playlist MegaFavNumbers

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From playlist A Level & IB Chemistry //

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In this video, we sort numbers into abundant, deficient and perfect numbers and discuss some ideas around the patterns behind these numbers.

From playlist Math 6

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From playlist New AP & General Chemistry Video Playlist

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From playlist High Energy Density Science Seminar Series

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From playlist A Level Chemistry Calculations Involving the Mole

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From playlist 16. Stars 3

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From playlist Shorts

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From playlist MegaFavNumbers

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Related pages

Perfect number | Natural density | Semiperfect number | Aliquot sum | Integer | Superabundant number | Deficient number | Nicomachus | Quasiperfect number | Weird number | Primitive abundant number | Friendly number | Number theory | Divisor function